Sustainable Ecosystem Management via H∞-Control Theory of Stochastic Systems ()
ABSTRACT
In this paper, aiming
to provide accurate protocols for management of sustainable ecosystems, a
design methodology of H∞-controller
for hunter-prey
model under exposure to exogenous disturbance and stochastic noise is
presented. Along the development, solution procedure of the stochastic Hamilton-Jacobi-Isaacs equation via Successive
Galerkin’s Approximation is described. Utilizing the proposed solution methodology
of Hamilton-Jacobi-Isaacs equation, H∞-controller of
hunter-prey model
was successfully designed. Robustness and performance against
exogenous disturbance of the designed H∞-controller
is validated and confirmed by numerical simulations including Monte-Carlo
simulation by Simulink software on MATLAB.
Share and Cite:
Park, M. (2023) Sustainable Ecosystem Management via H
∞-Control Theory of Stochastic Systems.
Journal of Geoscience and Environment Protection,
11, 1-12. doi:
10.4236/gep.2023.112001.
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